The vase

The vase is a cylinder with a diameter of 1.2 dm. From the upper edge to the water level, it is 20 cm, and the water depth is 35 cm. If it were filled to the brim, how much ml of water would fit in it?

Correct answer:

V =  6220 ml

Step-by-step explanation:

$$\begin{gathered} D=1.2\text{dm}\to \text{cm}=1.2\cdot 10\text{cm}=12\text{cm} \\ h=20+35=55\text{cm} \\ {V}_1=\pi \cdot (D/2{)}^2\cdot h=3.1416\cdot (12/2{)}^2\cdot 55\doteq 6220.3535{\text{cm}}^3 \\ V=V_1\to \text{ml}=V_1\cdot 1\text{ml}=6220.3535\cdot 1\text{ml}=6220\text{ml}=6220\text{ml} \end{gathered}$$

Try another example